Pith Number

pith:ZGVLSE7R

pith:2026:ZGVLSE7RPY4CIBF7OFZT44BLNK

not attested not anchored not stored refs pending

A Verification Theorem for an Optimal Control Problem Governed by the Convective Brinkman--Forchheimer Equations

Manil T. Mohan, Sagar Gautam

arxiv:2606.27312 v1 · 2026-06-25 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGVLSE7RPY4CIBF7OFZT44BLNK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-26T01:16:18.395695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9aab913f17e382404bf71733e702b6abcbfc88adfa5efb64a071e555ff28f2f

Aliases

arxiv: 2606.27312 · arxiv_version: 2606.27312v1 · doi: 10.48550/arxiv.2606.27312 · pith_short_12: ZGVLSE7RPY4C · pith_short_16: ZGVLSE7RPY4CIBF7 · pith_short_8: ZGVLSE7R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZGVLSE7RPY4CIBF7OFZT44BLNK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c9aab913f17e382404bf71733e702b6abcbfc88adfa5efb64a071e555ff28f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b6b831b1da1f32f1aaf759dc24020eff581dee3306b058e5bc64bd43e02712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T17:29:07Z",
    "title_canon_sha256": "2f49a5b627d875ec17fa9875723e47d15e245563f97e7a2ba310e2b73f8ec2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27312",
    "kind": "arxiv",
    "version": 1
  }
}